{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 03 - Full-Waveform Inversion (FWI)\n",
    "\n",
    "This notebook is the third in a series of tutorial highlighting various aspects of seismic inversion based on Devito operators. In this second example we aim to highlight the core ideas behind seismic inversion, where we create an image of the subsurface from field recorded data. This tutorial follows on the modelling tutorial and will reuse the modelling and velocity model.\n",
    "\n",
    "## Inversion requirement\n",
    "\n",
    "Seismic inversion relies on two known parameters:\n",
    "\n",
    "- **Field data** - or also called **recorded data**. This is a shot record corresponding to the true velocity model. In practice this data is acquired as described in the first tutorial. In order to simplify this tutorial we will fake field data by modelling it with the true velocity model.\n",
    "\n",
    "- **Initial velocity model**. This is a velocity model that has been obtained by processing the field data. This model is a rough and very smooth estimate of the velocity as an initial estimate for the inversion. This is a necessary requirement for any optimization (method).\n",
    "\n",
    "## Inversion computational setup\n",
    "\n",
    "In this tutorial, we will introduce the gradient operator. This operator corresponds to the imaging condition introduced in the previous tutorial with some minor modifications that are defined by the objective function (also referred to in the tutorial series as the *functional*, *f*) and its gradient, *g*. We will define these two terms in the tutorial too.\n",
    "\n",
    "## Notes on the operators\n",
    "\n",
    "As we have already described the creation of a forward modelling operator, we will only call a wrapper function here. This wrapper already contains all the necessary operators for seismic modeling, imaging and inversion. Operators introduced for the first time in this tutorial will be properly described."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "from devito import configuration\n",
    "configuration['log-level'] = 'WARNING'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computational considerations\n",
    "\n",
    "As we will see, FWI is computationally extremely demanding, even more than RTM. To keep this tutorial as lightwight as possible we therefore again use a very small demonstration model. We also define here a few parameters for the final example runs that can be changed to modify the overall runtime of the tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "nshots = 9  # Number of shots to create gradient from\n",
    "nreceivers = 101  # Number of receiver locations per shot \n",
    "fwi_iterations = 5  # Number of outer FWI iterations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# True and smooth velocity models\n",
    "\n",
    "We will use a very simple model domain, consisting of a circle within a 2D domain. We will again use the \"true\" model to generate our synthetic shot data and use a \"smooth\" model as our initial guess. In this case the smooth model is very smooth indeed - it is simply a constant background velocity without any features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "from examples.seismic import demo_model, plot_velocity, plot_perturbation\n",
    "\n",
    "# Define true and initial model\n",
    "shape = (101, 101)  # Number of grid point (nx, nz)\n",
    "spacing = (10., 10.)  # Grid spacing in m. The domain size is now 1km by 1km\n",
    "origin = (0., 0.)  # Need origin to define relative source and receiver locations\n",
    "\n",
    "model = demo_model('circle-isotropic', vp_circle=3.0, vp_background=2.5,\n",
    "                    origin=origin, shape=shape, spacing=spacing, nbl=40)\n",
    "\n",
    "model0 = demo_model('circle-isotropic', vp_circle=2.5, vp_background=2.5,\n",
    "                     origin=origin, shape=shape, spacing=spacing, nbl=40,\n",
    "                    grid = model.grid)\n",
    "\n",
    "plot_velocity(model)\n",
    "plot_velocity(model0)\n",
    "plot_perturbation(model0, model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Acquisition geometry\n",
    "\n",
    "In this tutorial, we will use the easiest case for inversion, namely a transmission experiment. The sources are located on one side of the model and the receivers on the other side. This allows to record most of the information necessary for inversion, as reflections usually lead to poor inversion results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "# Define acquisition geometry: source\n",
    "from examples.seismic import AcquisitionGeometry\n",
    "\n",
    "t0 = 0.\n",
    "tn = 1000. \n",
    "f0 = 0.010\n",
    "# First, position source centrally in all dimensions, then set depth\n",
    "src_coordinates = np.empty((1, 2))\n",
    "src_coordinates[0, :] = np.array(model.domain_size) * .5\n",
    "src_coordinates[0, 0] = 20.  # Depth is 20m\n",
    "\n",
    "\n",
    "# Define acquisition geometry: receivers\n",
    "\n",
    "# Initialize receivers for synthetic and imaging data\n",
    "rec_coordinates = np.empty((nreceivers, 2))\n",
    "rec_coordinates[:, 1] = np.linspace(0, model.domain_size[0], num=nreceivers)\n",
    "rec_coordinates[:, 0] = 980.\n",
    "\n",
    "# Geometry\n",
    "\n",
    "geometry = AcquisitionGeometry(model, rec_coordinates, src_coordinates, t0, tn, f0=f0, src_type='Ricker')\n",
    "# We can plot the time signature to see the wavelet\n",
    "geometry.src.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot acquisition geometry\n",
    "plot_velocity(model, source=geometry.src_positions,\n",
    "              receiver=geometry.rec_positions[::4, :])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## True and smooth data\n",
    "\n",
    "We can generate shot records for the true and smoothed initial velocity models, since the difference between them will again form the basis of our imaging procedure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute synthetic data with forward operator \n",
    "from examples.seismic.acoustic import AcousticWaveSolver\n",
    "\n",
    "solver = AcousticWaveSolver(model, geometry, space_order=4)\n",
    "true_d, _, _ = solver.forward(vp=model.vp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute initial data with forward operator \n",
    "smooth_d, _, _ = solver.forward(vp=model0.vp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "from examples.seismic import plot_shotrecord\n",
    "\n",
    "# Plot shot record for true and smooth velocity model and the difference\n",
    "plot_shotrecord(true_d.data, model, t0, tn)\n",
    "plot_shotrecord(smooth_d.data, model, t0, tn)\n",
    "plot_shotrecord(smooth_d.data - true_d.data, model, t0, tn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Full-Waveform Inversion\n",
    "\n",
    "\n",
    "## Formulation\n",
    "\n",
    "Full-waveform inversion (FWI) aims to invert an accurate model of the discrete wave velocity, $\\mathbf{c}$, or equivalently the square slowness of the wave, $\\mathbf{m} = \\frac{1}{\\mathbf{c}^2}$, from a given set of measurements of the pressure wavefield $\\mathbf{u}$. This can be expressed as the following optimization problem [1, 2]:\n",
    "\n",
    "\\begin{aligned}\n",
    "\t\\mathop{\\hbox{minimize}}_{\\mathbf{m}} \\Phi_s(\\mathbf{m})&=\\frac{1}{2}\\left\\lVert\\mathbf{P}_r\n",
    "\t\\mathbf{u} - \\mathbf{d}\\right\\rVert_2^2 \\\\\n",
    "\t\\mathbf{u} &= \\mathbf{A}(\\mathbf{m})^{-1} \\mathbf{P}_s^T \\mathbf{q}_s, \n",
    "\\end{aligned}\n",
    "\n",
    "where $\\mathbf{P}_r$ is the sampling operator at the receiver locations, $\\mathbf{P}_s^T$ is the injection operator at the source locations, $\\mathbf{A}(\\mathbf{m})$ is the operator representing the discretized wave equation matrix, $\\mathbf{u}$ is the discrete synthetic pressure wavefield, $\\mathbf{q}_s$ is the corresponding pressure source and $\\mathbf{d}$ is the measured data. It is worth noting that $\\mathbf{m}$ is the unknown in this formulation and that multiple implementations of the wave equation operator $\\mathbf{A}(\\mathbf{m})$ are possible. \n",
    "\n",
    "We have already defined a concrete solver scheme for $\\mathbf{A}(\\mathbf{m})$ in the first tutorial, including appropriate implementations of the sampling operator $\\mathbf{P}_r$ and source term $\\mathbf{q}_s$.\n",
    "\n",
    "To solve this optimization problem using a gradient-based method, we use the\n",
    "adjoint-state method to evaluate the gradient $\\nabla\\Phi_s(\\mathbf{m})$:\n",
    "\n",
    "\\begin{align}\n",
    " \\nabla\\Phi_s(\\mathbf{m})=\\sum_{\\mathbf{t} =1}^{n_t}\\mathbf{u}[\\mathbf{t}] \\mathbf{v}_{tt}[\\mathbf{t}] =\\mathbf{J}^T\\delta\\mathbf{d}_s,\n",
    "\\end{align}\n",
    "\n",
    "where $n_t$ is the number of computational time steps, $\\delta\\mathbf{d}_s = \\left(\\mathbf{P}_r \\mathbf{u} - \\mathbf{d} \\right)$ is the data residual (difference between the measured data and the modelled data), $\\mathbf{J}$ is the Jacobian operator and $\\mathbf{v}_{tt}$ is the second-order time derivative of the adjoint wavefield solving:\n",
    "\n",
    "\\begin{align}\n",
    " \\mathbf{A}^T(\\mathbf{m}) \\mathbf{v} = \\mathbf{P}_r^T \\delta\\mathbf{d}.\n",
    "\\end{align}\n",
    "\n",
    "We see that the gradient of the FWI function is the previously defined imaging condition with an extra second-order time derivative. We will therefore reuse the operators defined previously inside a Devito wrapper."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## FWI gradient operator\n",
    "\n",
    "To compute a single gradient $\\nabla\\Phi_s(\\mathbf{m})$ in our optimization workflow we again use `solver.forward` to compute the entire forward wavefield $\\mathbf{u}$ and a similar pre-defined gradient operator to compute the adjoint wavefield `v`. The gradient operator provided by our `solver` utility also computes the correlation between the wavefields, allowing us to encode a similar procedure to the previous imaging tutorial as our gradient calculation:\n",
    "\n",
    "- Simulate the forward wavefield with the background velocity model to get the synthetic data and save the full wavefield $\\mathbf{u}$\n",
    "- Compute the data residual\n",
    "- Back-propagate the data residual and compute on the fly the gradient contribution at each time step. \n",
    "\n",
    "This procedure is applied to multiple source positions and summed to obtain a gradient image of the subsurface. We again prepare the source locations for each shot and visualize them, before defining a single gradient computation over a number of shots as a single function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "\n",
    "# Prepare the varying source locations sources\n",
    "source_locations = np.empty((nshots, 2), dtype=np.float32)\n",
    "source_locations[:, 0] = 30.\n",
    "source_locations[:, 1] = np.linspace(0., 1000, num=nshots)\n",
    "\n",
    "plot_velocity(model, source=source_locations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create FWI gradient kernel \n",
    "from devito import Function, TimeFunction\n",
    "from examples.seismic import Receiver\n",
    "\n",
    "import scipy\n",
    "def fwi_gradient(vp_in):    \n",
    "    # Create symbols to hold the gradient and residual\n",
    "    grad = Function(name=\"grad\", grid=model.grid)\n",
    "    residual = Receiver(name='rec', grid=model.grid,\n",
    "                        time_range=geometry.time_axis, \n",
    "                        coordinates=geometry.rec_positions)\n",
    "    objective = 0.\n",
    "    for i in range(nshots):\n",
    "        # Update source location\n",
    "        geometry.src_positions[0, :] = source_locations[i, :]\n",
    "        \n",
    "        # Generate synthetic data from true model\n",
    "        true_d, _, _ = solver.forward(vp=model.vp)\n",
    "        \n",
    "        # Compute smooth data and full forward wavefield u0\n",
    "        smooth_d, u0, _ = solver.forward(vp=vp_in, save=True)\n",
    "        \n",
    "        # Compute gradient from data residual and update objective function \n",
    "        residual.data[:] = smooth_d.data[:] - true_d.data[:]\n",
    "        \n",
    "        objective += .5*np.linalg.norm(residual.data.flatten())**2\n",
    "        solver.gradient(rec=residual, u=u0, vp=vp_in, grad=grad)\n",
    "    \n",
    "    return objective, -grad.data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having defined our FWI gradient procedure we can compute the initial iteration from our starting model. This allows us to visualize the gradient alongside the model perturbation and the effect of the gradient update on the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute gradient of initial model\n",
    "ff, update = fwi_gradient(model0.vp)\n",
    "assert np.isclose(ff, 57283, rtol=1e0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RT5M0wxfXKVubZjwceKnOeTMzs36jowE0IuYD8zNJcyTdC/ySpGt2SqvXTlfBmAQwdOTQdqppZlZt3g+0FF2/xRHxoKTfA3ulSc0eoK37AG5ETAemA7xt3A5RL4+ZmaUcQLuuzFucfeD1Q3XOjyV5rsfdt2Zm7aiNgVpXdX0lIknjgF1JunEhecD27ZL2z+QZChxK84dvzcysmXKW8hvwOnqbJF1L8tzOg8BzJJOIJgN/Bv49zTaLZNWIGZLOYf1CCgL+rZP1MTMz65ZO/85YQLI6xBnAEOApYCbw5YhYBhARr0k6BPgacDmwFUlA/UBEPNHh+piZDTyeRFSKTs/CvZBki5lm+ZaTLLF0Sic/38zMUh4D7Tr/RjEzqxq3QEvh7czMzMxa4N8oZmZV4xZoKXyLzcyqxgG0FL7FZmZV5ElEXecAamZWNW6BlsKTiMzMzFrg3yhmZlXjFmgpfIvNzKrIY6Bd5wBqZlY1boGWwrfYzKxqHEBL4UlEZmZmLfBvFDOzqnELtBS+xWZmFRSeRNR1DqBmZhUTgnX+6951HgM1MzNrgX+jmJlVjVugpfAtNjOrmBCsHdRuB+NrHalLlTmAmplVTEisG9zun/dXO1KXKvMYqJlZBa0bNKitowhJO0m6QdLzkl6QNFPSyIJlt5J0saSlkl6WNFfS+3N5/pekb0h6WNJLad5Zkt5T53r3SIo6x1mFvkwL3AI1M7NekzQEuBtYDZwIBDANmC3p3RGxssklrgI+DJwD/An4DHC7pH0i4jdpng8BHwD+E3gQGAb8MzBP0n4R8evcNR8GPpVLW9zC1yvEAdTMrGICsa77q8mfCuwC7BoRjwFIehj4A0kQu6SngmkL8mPAKRFxdZo2B1gITAUmpll/APxHRESm7N0kQfFM4OO5S78YEfPa/mYFuQvXzKxiArGWQW0dBUwE5tWCJ0BELALuBw4rUHYNcF2m7FqSgDlB0pZp2rJs8EzTngd+D7y9SCW7yQHUzKyC1jG4raOA3YAFddIXAmMLlF0UEavqlN0CGNNTQUkjgL8F/qfO6T3T8dg16bjpJ5rUoy3uwjUzq5gOdeFuK+mBzPvpETE9834EsKJOueXA8CbXblS2dr4n3yRZ7feyXPq9wLUkrdNhJN27V0raISKmNalPSxxAzcysnmURMa6vK5ElaTLJ2Oknsl3HABHxpVz2myTdCJwr6bKIeKnT9XEXrplZxdRaoO0cBaygfkuzp9Zl0bKwviX6OkmfBr4KTImI7xapIPB9YCtg94L5e8UtUDOzCiphFu5CkrHMvLHAIwXKfkTSkNw46FiSFRw2aF1KOgG4HPh6RFzQQl2jeZbecwvUzKxiSpqFOwvYW9IutQRJo4B903ON3AxsDhyVKTsYOAa4IyJWZ9I/AlwNXBkRZxe7A687DngZ+G0vyxXiFqiZmbXiO8DpJGONU0haeecDTwBX1DJJ2hn4IzA1IqYCRMR8SdcBl0naHFgEnAaMJgl6tbLvJ+mGfQj4nqS9M5+/OiLmp/n+Afg8MJPkGdFtSBZ3mAh8vsCiDi1xADUzq5hkDLS7f94jYqWk8cClwDUkM2PvAs7KTdgRMIiNezxPBi4gWb1oGEmQPCgiHszkGQ9sCbyX5PnSrMeBUem/l6bXnwpsS/KM6cPAxyLi+61/y8YcQM3MKqiEMVAiYglwRJM8i0mCaD79ZeCz6dFT2fOA8wrU4zHg4Gb5Oq2jY6ANFvMNSbeleUY1yDOsk/UxMxuISpqFO+B1ugX6f4ChubR9SNZEzA8qX1gn7cUO18fMbMAJKDoRyNrQ0QAaERtNXZZ0Ksm05B/kTv2pzEV/zczMOqmrY6DpdjdHATdHxEYPxpqZWTd0fxKRdf850I8AbyLZyy3vQklr04V/Z0nqykoRZmYDjcdAy9HtnygfB54GfpJJW03yjNAdwDPAO4EvAD+X9HcRUW+FfTMz6wUHwe7rWgCV9DbgQOAb6T5vAETEUuDTmaz3pTN0FwLnAsf3cL1JwCSAoSPz85TMumuatmi57JR4tYM1MWuupA21B7xuduEen16/XvftBiLiCeBnwF4N8kyPiHERMW7r7YZ0rpZmZmYt6GYX7onAQxHxUC/KdGXBX7PeaKe1WfR6bpVaN9XWwrXu6koAlTSOZFX9HleYyOUfCewH/Kgb9TEzG2g8C7f7unWHPw6sJdkdfAOSvk7StTuXZBLRrsBk4DWSdRHN+kSnW55FPsstUesGj4GWo+MBNF1Z/6PAbRHxdJ0sC0lW3T8JeCPwLHA38JWIeLTT9TEzM+uGjgfQiFgDbNfg/HeBoruJm3VNmS3OInVwa9Q6xS3QcriT3MysgjyJqPscQG1A6g+tzzyPi1qnlLEfqDmA2gDTHwNnngOptctduOXo9lq4ZmZmleQWqJlZBbkF2n0OoGZmFeOViMrhAGoDwqYw9pnnsVBrlScRlcN32MysgtyF230OoFZpm2LLM88tUbP+yQHUzKxi/BhLORxAzcwqxgG0HA6gZmYV5Fm43eeFFMzMzFrgFqhVUhUmD+VN0xaeSGSF+DGWcrgFamZWMbUx0HaOIiTtJOkGSc9LekHSTEkjC5bdStLFkpZKelnSXEnvr5NvM0mTJS2W9IqkhyQd0cM1T5X0O0mrJT0q6dOFvkiLHEDNzCqo2wFU0hDgbuCdwInACcDfALMlbV2gilcBpwJfAg4BlgK3S9ojl+984DzgW8DBwDzgekn/mKvPqcAVwA+Bg4DrgcslnVagLi1xG9/MrGJKWsrvVGAXYNeIeAxA0sPAH4BPAZf0VFDSe4CPAadExNVp2hxgITAVmJimbQ+cDVwUEV9Li8+WNAa4CLg1zTcYuAC4JiLOzeR7G3C+pCsjYk3HvnnKLVAzM2vFRGBeLXgCRMQi4H7gsAJl1wDXZcquBX4ATJC0ZZo8AdgCmJErPwPYXdLo9P0+wHZ18l0DvBnYr+B36hUHUDOziqlNImrnKGA3YEGd9IXA2AJlF0XEqjpltwDGZPKtBh6rk4/M5+yWvubrk8/XUe7CNTOroBIWUhgBrKiTvhwY3kbZ2vna63MREQXyUeea+Xwd5QBqZlYxHVqJaFtJD2TeT4+I6e1etEocQM3MKqgDAXRZRIxrcH4F9VuaPbUu82V37qEsrG85rgCGSVKuFVovH2l9ljbI11EeAzUzs1YsZP3YY9ZY4JECZUenj8Lky77K+jHPhcCWwDvq5CPzObWxznx98vk6ygHUzKxiao+xtHMUMAvYW9IutQRJo4B903ON3AxsDhyVKTsYOAa4IyJWp8m3kczWPS5X/nhgQTrrF2AusKyHfMtJZgZ3nLtwzcwqpqSl/L4DnA7cJGkKECSLHjxBsqABAJJ2Bv4ITI2IqQARMV/SdcBlkjYHFgGnAaPJBMGIeFrSJcBkSS8CD5IE2fGkz4qm+dZI+iLJwgl/Bu5M85wCnBHRnTUwHUDNzCqo27NwI2KlpPHApSTPWwq4CzgrIl7KZBUwiI17PE8mWfxgGjAMeAg4KCIezOU7F3gJOBN4K/AocHRE3JKrz7clBfA54BxgCXB6RFze7nftiQOomZm1JCKWAHXXpc3kWUwSRPPpLwOfTY9G5deRBNlpBepzBZnWb7c5gJqZVYw31C6HA6hVUm3brypta+atzKyoktbCHfAcQM3MKsj7gXaf77CZWcW4C7ccfg7UzMysBYUCqKQdJX0z3TF8laRIH5jN5+v4DuNmZtY7tRZoNzfUtuIt0DHA0STrDd7XIF9Hdxg3a9eUeHWTn3xThe9g5XMA7b6iY6D3RsRbACR9EvhQPkOndxg3M7PWeBZuOQq1QCPitQLZOr3DuFnHbIqtuE2xzmYDSSdn4RbZYby2en+zHcYXYWZmLSlpLdwBr5N3uNM7jJuZWYs8jtl9m8xPFEmTgEkAQ0cO7ePa2KZqU1ihyN221i4/B1qOTgbQTu8wvoGImA5MB3jbuB3yrVczM0t5ElE5OrmQQqd3GDfrmv7YyvOkIbNNSycDaKd3GDczsxatY3BbhzVX+C5JOjL95/vS14MlPQM8ExFzOr3DuFm35Vt7fTEu6handYPHQMvRm58Z1+fe13b5ngMckP67ozuMm5lZ7zmAlqNwAI2IjXYUr5On4zuMm5WlzBm6bnlat3kSUfd5NxYzM7MWeKTYLKde67CdVqlbm1Y2r0RUDt9hswIcBG1T4jHQcjiAmplVkANo93kM1MzMrAVugZqZVYy7cMvhAGpmVjGBH2MpgwOomVnleBZuGXyHzcwqxl245fAkIjMzsxY4gJqZVdA6BrV1dIukzSRNlrRY0iuSHpJ0RC/KHy5pflr2cUlTJA3KnB8k6WxJd0v6q6QXJT0o6ROSNstd6yRJUef4TZG6uAvXzKxi+vmG2ucDZ5NsKvJr4FjgekmHRMStjQpKmgD8ELiKZM31PYGvAm8C/iXN9gZgCvBfwDdINi75R+A7wDuBc+pc+ijgycz7lUW+iAOomVnF9Nel/CRtTxI8L4qIr6XJsyWNAS4CGgbQNM/PImJSpuwbgSmSLo2Ip4CXgV0iYnmm3F2ShgNnSPpSuvFJ1m8i4rHefh934ZqZVVA/7cKdAGwBzMilzwB2lzS6p4KSdgL2qFP2GmBz4GBIdvvKBc+aXwFbAtu2VvWNOYCamVlZdgNWA/nW3sL0dWyTsgALsokRsQhY1aQswP7Ac8DSOud+JmmdpKWSvi1pRJNrAe7CNTOrnA49xrKtpAcy76dHxPQ2rzkCeC4iIpe+PHO+UVmAFXXOrWhUNh07PRr4YkSszZxaCkwFfkHS9bsvyVjqvpL2iohXGtTHAdTMrGoCse61tgPosogY1yiDpAOBnxa41pyIOKDdCrVC0ljg+8Bs4F+z5yLiduD2TNJsSb8FfgQcD1zZ6NoOoGZmVROwdm0ps3B/DryrQL5V6esKYJgk5VqhtdZjvbHLmlrLc3idc8PrlZW0C0mAXwR8JNf67Mksklm4e+EAamZm3RARq4Df9aLIQpKJPO9gw3HQ2vjlI03KQjIWOreWKGkUMCRfVtKOwF3AC8CEiHihF/WEZEnhhjyJyMysYiLEurWD2zq65DZgDXBcLv14YEE6IaiH7xRLgId6KLsG+EktQdJ2wJ3p2w9GxLJe1PFwYGvgl80yugVqZlYxSQDtfwspRMTTki4BJkt6EXgQOAYYD0zM5pV0F7BzRIzJJH8BuEXSFSTjmnuSLJrwjfQZUCS9gWRccxRwCrBj2hqteaTWGpX0U5Kx0QWsn0R0NkmgvrbZ93EANTOrmqBfBtDUuSSrA50JvBV4FDg6Im7J5RtELkZFxK2SjgS+DJwE/JVkJaILMtneQhJYoX4Q/ABwT/rvhcAJwI4kXctPAN8Gzo+I1c2+iAOomVnFRIi1a/pnAI2IdcC09GiU74Ae0mcCMxuUWwyoYF3OKpKvJx4DNTMza4FboGZmlSNeW+c/793mO2xmVjUB9N8x0MpwADUzq5qQA2gJHEDNzKomgLWF5tFYGzyJyMzMrAVugZqZVVGRVV+tLQ6gZmZVEziAlsAB1MysahxAS1FoDFTSjpK+KWmupFWSIl0BP5tnnKTpkn6X5lki6VpJo+tcb3F6jfxxeGe+lpmZWXcVbYGOIdnN+9fAfcCH6uQ5lmSbmX8nWV/w7cAXgQck7RERT+Ty3w6cl0t7tGB9zMysJ0GyP4l1VdEAem9EvAVA0iepH0D/NSKeySZIup9kI9NTgS/l8i+LiHm9rK+ZmTUTwLq+rkT1FQqgEfFagTzP1El7XNIzJK1RMzMri8dAu66rz4FKehewPfA/dU4fmo6VrpY0z+OfZmYdUptE1M5hTXUtgEoaTLKv2jPAVbnTNwNnABNIdhd/BbhR0vHdqo+ZmVkndfMxlm8Bfw98OCJWZE9ExBnZ95JuBOYBFwIz6l1M0iRgEsDQkUO7UV8zs2rwYyyl6EoLVNJFJMHulIi4o1n+dIPV64EdJe3QQ57pETEuIsZtvd2QzlbYzKxK3IVbio63QCWdC/wLcEZEXNPCJaLDVTIzG1jcAi1FRwOopH8CpgHnRsS3elFuMHAMsCQinupknczMBiQH0K4rHEAlHZn+833p68HpIyrPRMQcSccClwG3AXdL2jtT/IUKc4e9AAASjElEQVSIeCS9zkeBw4BbgSeAtwCfAd4LfLSdL2NmZlaW3rRAr8+9vzx9nQMcABwEKH09KJe3lgeShRW2By4GRgArgQeAgyLi9l7Ux8zM6vFKRKUoHEAjouHurBFxEnBSgevMA8YX/VwzM+slr0RUCu/GYmZWNZ5EVIqurkRkZmZWVW6BmplVjVugpXAANTOrGgfQUjiAmplVkQNo1zmAmplVjVugpfAkIjMzK42kzSRNlrRY0iuSHpJ0RC/KHy5pflr2cUlTJA3K5TlPUtQ5flTnertJukPSS5KelXS1pBFF6uIWqJlZ1fTvFuj5wNnAucCvgWOB6yUdEhG3NiooaQLwQ5ItMj8L7Al8FXgTyRrsefux4ROxy3PXextwD/A74EhgGMkiP7dI2i8iXmtUHwdQM7Oq6acrEUnaniR4XhQRX0uTZ0saA1xEssRrIxcBP4uISZmybwSmSLq0zlrqv4iIRj8lzgE2Bw6NiOfSOv6FZPW8w4GZjSrjLlwzs6qprUTUztEdE4At2Hjf5xnA7pJG91RQ0k7AHnXKXkMSBA9uoT4TgR/XgidARNwLLCFZs70hB1Azsyrqn/uB7gasBh7LpS9MX8c2KQuwIJsYEYuAVT2UfULSunSs9F8lvaF2Iv336Pz1MvVpVBfAXbhmZlbftpIeyLyfHhHT27zmCOC5iMjv+7w8c75RWYAVdc6tyJV9DPg8MJ+kPf4h4P+S7Pr1wTTPcJINUOpdbzmwa4O6AA6gZmbV05lJRMsiYlyjDJIOBH5a4FpzIuKAtmtUUETku3l/KulJ4DJJB0bEnZ34HAdQM7OqKW8W7s+BdxXItyp9XQEMk6RcK7TWelxOz2otxeF1zg1vUhbg+yR7Vu8F3Ak8R3Kn6l1vRIHrOYCamVVOSbNwI2IVySMgRS0EtgTewYbjoLXxxkealIVkLHRuLVHSKGBIk7JZAUndJS1m/dhq1liSmbgNeRKRmZmV5TaS0H5cLv14YEE6IaiuiFgCPNRD2TXAT5p8dq3cLzNps4APS9qmliBpP2Dn9FxDboGamVVNP91QOyKelnQJMFnSi8CDwDHAeJJHSl4n6S5g54gYk0n+AskiB1eQdMnuCUwBvpF9BlTSfOC/gEdJ7sYHgTOA2yLi7sz1LiYJwLMkXQhsA/wb8AvgxmbfxwHUzKyK+u9KROcCLwFnAm8lCXJHR8QtuXyDyMWoiLhV0pHAl4GTgL+SrER0Qa7so8DpwA4kPa1/AqaSBMfs9f4s6QPAJSQrHL0K3AR8rtkqROQrZ2ZmFdCPl/KLiHXAtPRolO+AHtJn0mSFoIg4thf1+S3rH23pFQdQM7Oq6adL+VWNJxGZmZm1wC1QM7Oq6aeTiKrGAdTMrGr68RholTiAmplVkQNo1zmAmplVjScRlcKTiMzMzFrgFqiZWdV4ElEpHEDNzKrGk4hK4QBqZlY1DqCl8BiomZlZC9wCNTOrGs/CLYUDqJlZFXkSUdcV6sKVtKOkb0qaK2mVpEh3Ac/nix6OPXL5NpM0WdJiSa9IekjSEZ35SmZmA1xtDLSdw5oqOgY6BjgaWAHc1yTv94B9csfvc3nOB84DvgUcDMwDrpf0jwXrY2ZmPXEALUXRLtx7I+ItAJI+CXyoQd4/R8S8nk5K2h44G7goIr6WJs+WNAa4CLi1YJ3MzMz6TKEWaJGduXthArAFMCOXPgPYXdLoDn6WmdnAU5tE1M5hTXXjMZbTJK1Ox0rvlvQPufO7AauBx3LpC9PXsV2ok5nZwFFbiaidw5rq9CzcGcAtwF+AnYFzgLslfTAi7knzjACei4jIlV2eOW9mZu3wOGbXdTSARsQJmbf3SboJWABMA/Zr59qSJgGTAIaOHNrOpczMzNrW1ZWIIuJF4MfAXpnkFcAwScplr7U8l1NHREyPiHERMW7r7YZ0vrJmZlXhWbilKGshhWx37UJgS+AdbDgOWhv7fKSkOpmZVZNXIipFV1ugkoYChwC/zCTfRvKf9rhc9uOBBRGxqJt1MjOrPE8iKkXhFqikI9N/vi99PVjSM8AzETFH0tnArsBs1k8iOht4K5lgGRFPS7oEmCzpReBB4BhgPDCxze9jZmbejaUUvenCvT73/vL0dQ5wAPAo8JH02AZ4Abgf+ERE/DJX9lzgJeBMkgD7KHB0RNzSm8qbmZn1lcIBNCLyk37y528Gbi54rXUkM3OnFf18MzPrBbdAu867sZiZVY0nEZXCAdTMrGpqk4isq7o6C9fMzPpAP34OtN3tLCUdLml+WvZxSVMkDcrl6WlrzZD0+Uy+k3rI85sidXEL1MzMynQ+yRMa5wK/Bo4l2c7ykIhouBuXpAnAD4GrgM8CewJfBd4E/Esm6z51in+G5HHJWXXOHQU8mXm/ssgXcQA1M6uafvoYSwe2s7wI+FlETMqUfSMwRdKlEfEUQL0tNSXNAB6IiHqL9fwmIvIbnDTlLlwzs6rpv9uZtbydpaSdgD3qlL0G2Bw4uEHZ/UhWv/vPFurcIwdQM7Mq6p8rEbWzneVu6euCbGK6et2qJmVPBF4Fvt/D+Z9JWidpqaRvSyq0K5i7cM3MrJ5tJT2QeT89Iqa3ec12trOsnVtR59yKnspK2opkjPPHEfFs7vRSYCrwC+BlYF+SsdR9Je0VEa80qI8DqJlZJeVDVO8ti4hxjTJIOhD4aYFrzYmIA9quUWsOJ1kd73v5ExFxO3B7Jmm2pN8CPyKZcHRlows7gJqZWat+DryrQL5V6evr21nmWqENt7PMlAUYXufc8AZlPw48A/ykQD0hmaW7kmQbTgdQMzPrvIhYBfyuF0Xa2c6yNk66GzC3lihpFDCkXllJbwU+BHwrIno7NappG96TiMzMrCwtb2cZEUuAh3oou4b6LczjgUH0bvbt4cDWbLgNZ11ugZqZWSl6s52lpLuAnSNiTCb5C8Atkq4gmVG7JzAF+EbtGdCcjwO/jYj59eoj6ackW3AuYP0korNJAvW1zb6PA6iZWeX069Xki25nOYhcjIqIW9O9qb8MnAT8lWQlogvyHyJpT2B3koDYk4XACcCOJF3LTwDfBs6PiNXNvogDqJlZ5fTTpYgovp1lT7N2I2ImMLPA58wHmm3DeVaz6zTiAGpmVjn9ugVaGQ6gZmaV039boFXiWbhmZmYtcAvUzKxy3IVbBgdQM7PKcQAtgwOomVkleQy02zwGamZm1gK3QM3MKsdduGVwADUzqxw/xlIGB1Azs8pxC7QMDqBmZpXjFmgZPInIzMysBW6BmplVjrtwy+AAamZWOe7CLYMDqJlZ5bgFWgYHUDOzynELtAyeRGRmZtaCQgFU0o6SvilprqRVkkLSqFye89L0escrubyLe8h3eOe+mpnZQFXrwm3nsGaKduGOAY4Gfg3cB3yoTp4rgdtyaVunabPq5L8dOC+X9mjB+piZWUPuwu22ogH03oh4C4CkT1IngEbEk8CT2TRJJ6Sf8Z91rrksIub1rrpmZtacJxGVoVAXbkS81uL1TwT+StLaNDMzq4yuTSKStBPwAeDaiKjXl3BoOp66WtI8j3+amXWKx0DL0M3HWI4nCdD1um9vBn4FLALeApwO3CjphIiY0cU6mZkNAH6MpQzdDKAfB+ZHxMP5ExFxRva9pBuBecCFQN0AKmkSMAlg6MihHa+smVl1eAy0DF3pwpX0d8A7qd/63EhErAOuB3aUtEMPeaZHxLiIGLf1dkM6V1kzs8qptUDbOayZbo2Bnkjy8+e/WygbHa6LmZlZx3W8C1fSFsCxwE8i4pmCZQYDxwBLIuKpTtfJzGxgcRduGQq3QCUdKelI4H1p0sFp2v65rIcAI+ih+1bSRyX9QNLHJX1A0rHAbOC9wL/0/iuYmdmG+m8XrqTNJE1OV6R7RdJDko4oWPZQSf8t6feSXpN0T4O8u0m6Q9JLkp6VdLWkEXXy7STpBknPS3pB0kxJI4vUpzct0Otz7y9PX+cAB2TSTwSWA7f0cJ1FwPbAxSSBdiXwAHBQRPh5UTOztvXrFuj5wNnAuSSr2x0LXC/pkIi4tUnZw4E9SCadbtVTJklvA+4BfgccCQwjiTm3SNqvtraBpCHA3cBqktgVwDRgtqR3R8TKRpUpHEAjQgXzHdbk/DxgfNHPNTOz3uqfj7FI2p4keF4UEV9Lk2dLGgNcBDQLoKdmgt/PGuQ7B9gcODQinkvz/4WkwXc4MLN2PWAXYNeIeCzN9zDwB+BTwCWNKuPdWMzMrCwTgC3Y+HHFGcDukkY3KtyLVfEmAj+uBc+07L3AEuCwXL55teCZ5lsE3J/LV5cDqJlZ5fTblYh2I+kufSyXvjB9HdvuB0h6AzAaWFDn9MLcZ+xWMF9d3lDbzKxy+mcXLsm8l+ciIv+44vLM+XYNBwSsqHNuObBrrj495Rve7IM2yQC69NdPLZumC1cCy/q6LgPAtvg+l8H3uRxVvs87r//n0tvhvG3bvN5Wkh7IvJ8eEdOzGSQdCPy0wLXmRMQBbdan39kkA2hEbCfpgYgY19d1qTrf53L4PpdjoNzniDiopI/6OfCuAvlWpa8rgGGSlGuF1lqey2nfcyRN8HotyBG5z1jRIF+9lukGNskAamZmfS8iVpE8KlLUQmBL4B1sOA5aG298pBN1krSYZHwzbyzJTNxsfXrK17QunkRkZmZluY1khtJxufTjgQXpDNhOmAV8WNI2tQRJ+5F0c8/K5dtb0i6ZfKOAfXP56tqUW6DTm2exDvB9Lofvczl8n/tQRDwt6RJgsqQXgQdJlnEdT/JIyesk3QXsHBFjMmk7A3ulb98MvJaukAfwq4h4PP33xSRBeZakC4FtgH8DfgHcmPmY75Bsp3mTpCkkXb/nA08AVzT7Ptp4MpSZmVl3SBoETCZZxOCtwKPA1Ii4IZfvHmBURIzKpJ0EXN3DpU+OiO9l8u5OshDC3wOvAjcBn4uIZ3OfMxK4FPggyezdu4CzImJx0+/iAGpmZtZ7m9QYaDuL/trGJB0gKeocz+XyDZd0paRlklZKujP9dWc5knaU9E1JcyWtSu/nqDr5tpJ0saSlkl5O87+/Tr6WF96usl7c53r/f4ekPXL5fJ+t1zaZAJpZ9PedJIv+ngD8Dck6ilv3Zd0q4J+AfTLHgbUTkgTcDBwEnAEcQbLG5GxJO5Zf1X5vDHA0yRT4+xrku4qkC+tLJDsYLQVuz/9hJxmPOQ/4FnAwySLa10v6x85We5NT9D4DfI8N///eB/h9Lo/vs/VeRGwSB3AmsA4Yk0kbTbLcxmf7un6b4kGyi04ABzbIc1ia5wOZtG1InqX6977+Dv3tADbL/PuT6b0blcvznjT95EzaYJKxoFmZtO1Jlj37Sq78XcDDff1d+/t9Ts8FMK3JtXyffbR0bDItUNpc9NdaNhH4S0TMriVExPMkrVLf95wottj1RJKp/Ndlyq0FfgBMkLRlmtzWwttVVvA+F+X7bC3ZlAJoW4v+WkPXSlqXbjr737lx5Ub3faSkN5ZTxUrZDVgUyUPoWQtJ/pCPyeTr6sLbA8RpklanY6V3S/qH3HnfZ2vJpvQcaFuL/lpdzwNfJ1mZ4wVgT+ALwFxJe0bE0yT3fXGdsrXlsIYDL3W/qpXS6P/l2vnaa7cX3q66GcAtwF9IHqI/B7hb0gcj4p40j++ztWRTCqDWYRExH5ifSZoj6V7glyQTi6b0ScXMOiQiTsi8vU/STSQ9KtOA/fqmVlYVm1IXbluL/loxEfEgyQzF2mofje577bz1TrN7ujyTb1g6E7pRPisoIl4Efsz6/7/B99latCkF0LYW/bVeq3VnNbrvSyLC3be9txAYnT6alTWWZMWUxzL5agtv5/OB/79vR7a71vfZWrIpBdC2Fv21YiSNI9lw9pdp0izg7ZL2z+QZChyK73urbiZ5lvaoWoKkwSRrgt4REavT5LIW3h4w0v93D2H9/9/g+2wt2pTGQNta9Nc2JulaYBHJgs7PkUwimgz8Gfj3NNssYC4wQ9I5JN1dk0nWjPy3suu8Kcgsbv2+9PVgSc8Az0TEnIiYL+k64DJJm5P8NziN5Lnm1/+IRy8W3h6Imt1nSWeT/BiczfpJRGeTrL/q+2zt6+sHUXtzACOBH5LMGH0R+BF1Hp72Ufh+TgYeJpmNu4bkx8h0YIdcvhHAd0nGglaRPGD+nr6uf389SH7c1TvuyeR5A8lC108Br5DsEnFAnWsNIpnM9TjJoxYPA0f29XfsD0ez+0zSS3I/sCz9//tZkh+Ef+f77KMThxeTNzMza8GmNAZqZmbWbziAmpmZtcAB1MzMrAUOoGZmZi1wADUzM2uBA6iZmVkLHEDNzMxa4ABqZmbWAgdQMzOzFvx/YaCc4UEIOGYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "from examples.seismic import plot_image\n",
    "\n",
    "# Plot the FWI gradient\n",
    "plot_image(update, vmin=-1e4, vmax=1e4, cmap=\"jet\")\n",
    "\n",
    "# Plot the difference between the true and initial model.\n",
    "# This is not known in practice as only the initial model is provided.\n",
    "plot_image(model0.vp.data - model.vp.data, vmin=-1e-1, vmax=1e-1, cmap=\"jet\")\n",
    "\n",
    "# Show what the update does to the model\n",
    "alpha = .5 / np.abs(update).max()\n",
    "plot_image(model0.vp.data - alpha*update, vmin=2.5, vmax=3.0, cmap=\"jet\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the gradient and the true perturbation have the same sign, therefore, with an appropriate scaling factor, we will update the model in the correct direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define bounding box constraints on the solution.\n",
    "def apply_box_constraint(vp):\n",
    "    # Maximum possible 'realistic' velocity is 3.5 km/sec\n",
    "    # Minimum possible 'realistic' velocity is 2 km/sec\n",
    "    return np.clip(vp, 2.0, 3.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Objective value is 57283.142744 at iteration 1\n",
      "Objective value is 35764.785716 at iteration 2\n",
      "Objective value is 21001.497656 at iteration 3\n",
      "Objective value is 11547.509773 at iteration 4\n",
      "Objective value is 5785.733449 at iteration 5\n"
     ]
    }
   ],
   "source": [
    "#NBVAL_SKIP\n",
    "\n",
    "# Run FWI with gradient descent\n",
    "history = np.zeros((fwi_iterations, 1))\n",
    "for i in range(0, fwi_iterations):\n",
    "    # Compute the functional value and gradient for the current\n",
    "    # model estimate\n",
    "    phi, direction = fwi_gradient(model0.vp)\n",
    "    \n",
    "    # Store the history of the functional values\n",
    "    history[i] = phi\n",
    "    \n",
    "    # Artificial Step length for gradient descent\n",
    "    # In practice this would be replaced by a Linesearch (Wolfe, ...)\n",
    "    # that would guarantee functional decrease Phi(m-alpha g) <= epsilon Phi(m)\n",
    "    # where epsilon is a minimum decrease constant\n",
    "    alpha = .05 / np.abs(direction).max()\n",
    "    \n",
    "    # Update the model estimate and enforce minimum/maximum values\n",
    "    model0.vp = apply_box_constraint(model0.vp.data - alpha * direction)\n",
    "    \n",
    "    # Log the progress made\n",
    "    print('Objective value is %f at iteration %d' % (phi, i+1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "\n",
    "# Plot inverted velocity model\n",
    "plot_velocity(model0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_SKIP\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Plot objective function decrease\n",
    "plt.figure()\n",
    "plt.loglog(history)\n",
    "plt.xlabel('Iteration number')\n",
    "plt.ylabel('Misift value Phi')\n",
    "plt.title('Convergence')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] _Virieux, J. and Operto, S.: An overview of full-waveform inversion in exploration geophysics, GEOPHYSICS, 74, WCC1–WCC26, doi:10.1190/1.3238367, http://library.seg.org/doi/abs/10.1190/1.3238367, 2009._\n",
    "\n",
    "[2] _Haber, E., Chung, M., and Herrmann, F. J.: An effective method for parameter estimation with PDE constraints with multiple right hand sides, SIAM Journal on Optimization, 22, http://dx.doi.org/10.1137/11081126X, 2012._"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<sup>This notebook is part of the tutorial \"Optimised Symbolic Finite Difference Computation with Devito\" presented at the Intel® HPC Developer Conference 2017.</sup>"
   ]
  }
 ],
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